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y+3=-3\left(x-2\right)
The opposite of -3 is 3.
y+3=-3x+6
Use the distributive property to multiply -3 by x-2.
-3x+6=y+3
Swap sides so that all variable terms are on the left hand side.
-3x=y+3-6
Subtract 6 from both sides.
-3x=y-3
Subtract 6 from 3 to get -3.
\frac{-3x}{-3}=\frac{y-3}{-3}
Divide both sides by -3.
x=\frac{y-3}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\frac{y}{3}+1
Divide y-3 by -3.
y+3=-3\left(x-2\right)
The opposite of -3 is 3.
y+3=-3x+6
Use the distributive property to multiply -3 by x-2.
y=-3x+6-3
Subtract 3 from both sides.
y=-3x+3
Subtract 3 from 6 to get 3.